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Use the information given to answer the question.

Jim, Kimora, and Lonnie are traveling to colleges from each of their respective houses. All the students travel at average rates of 55 mph. These functions are based on Jim and Kimora's distance to their house.

f(x)=140-55x
g(x)=220-55x

The distance Jim travels to college is
140 miles. The distance Kimora travels to college is 220 miles.

If Jim and Kimora begin their travel at the same time, which function represents Kimora’s travel based on Jim’s travel?

A. g(x)=f(x-20)
B. g(x)=f(x+80)
C. g(x)=f(x)-20
D. g(x)=f(x)+80

Then based on your answer choice, Lonnie and Kimora live the same distance from their respective colleges and travel at the same rate. If Lonnie leaves two hours before Kimora, which function represents Lonnie’s travel, h(x), based on Kimora’s travel?

A. h(x)=g(x+2)
B. h(x)=g(x-2)
C. h(x)=g(x)+2
D. h(x)=g(x)-2

Topic: Algebra 2 functions.

Respuesta :

Comparing the functions, it is found that:

  • The function Kimora's travel based on Jim's travel is of: D. g(x) = f(x) + 80.
  • Lonnie's function based on Kimora is: B. h(x) = g(x - 2).

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Jim's equation is of:

[tex]f(x) = 140 - 55x[/tex]

Kimora's equation is of:

[tex]g(x) = 220 - 55x[/tex]

The -55x term is common to both functions, while the constant on g is 80 more than f, thus:

[tex]g(x) = f(x) + 80[/tex]

Which means that the answer to the first question is given by option D.

Lonnie started traveling two hours before Kimora's, using the same equation of motion, just with the input x reduced by 2, thus:

[tex]h(x) = g(x - 2)[/tex]

Which means that the answer to the second question is given by option B.

A similar problem is given at https://brainly.com/question/24759429

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